Papers โ€บ Block Model Guided Unsupervised Feature Selection

Block Model Guided Unsupervised Feature Selection

5 Jul 2020arXiv:2007.02376archive 2025-07-28

Zilong Bai, Hoa Nguyen, Ian Davidson

Feature selection is a core area of data mining with a recent innovation of graph-driven unsupervised feature selection for linked data. In this setting we have a dataset ๐˜ consisting of n instances each with m features and a corresponding n node graph (whose adjacency matrix is ๐€) with an edge indicating that the two instances are similar. Existing efforts for unsupervised feature selection on attributed networks have explored either directly regenerating the links by solving for f such that f(๐ฒแตข,๐ฒโฑผ) โ‰ˆ๐€_(i,j) or finding community structure in ๐€ and using the features in ๐˜ to predict these communities. However, graph-driven unsupervised feature selection remains an understudied area with respect to exploring more complex guidance. Here we take the novel approach of first building a block model on the graph and then using the block model for feature selection. That is, we discover ๐…๐Œ๐…แต€ โ‰ˆ๐€ and then find a subset of features ๐’ฎ that induces another graph to preserve both ๐… and ๐Œ. We call our approach Block Model Guided Unsupervised Feature Selection (BMGUFS). Experimental results show that our method outperforms the state of the art on several real-world public datasets in finding high-quality features for clustering.

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Feature Selection

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